The object of this reportt is to describe a method for finding the temperature distribution in a metal cylinder containing a heat source distributed in any manner throughout the cylinder. Specific solutions are given for cylinders with L/D ratios of 1, 2, 3, and ∞.
Pletke, Leon and Murphy, Glenn, "Temperature distribution in a metal cylinder containing a heat source" (1953). Ames Laboratory ISC Technical Reports. 68.